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Finding the Fourth Proportional to 16,996, 23,454.48 and 9,544

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Solution

The fourth proportional to 16,996, 23,454.48 and 9,544 is: 13,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,996 : 23,454.48 = 9,544 : x
  2. Step 2: Convert to fraction form
    16,996/23,454.48 = 9,544/x
  3. Step 3: Cross multiply
    16,996x = 23,454.48 × 9,544
  4. Step 4: Simplify right side
    16,996x = 223,849,557.12
  5. Step 5: Solve for x
    x = 223,849,557.12/16,996
  6. Step 6: Final answer
    x = 13,170.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.